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If y=tan^(-1)sqrt((1-x)/(1+x)), then fin...

If `y=tan^(-1)sqrt((1-x)/(1+_x))`, then find `(dy)/(dx)` when `-1 lt x lt 1.`

A

` (-2) /( sqrt (1-x) ^(2))`

B

` (2) /( sqrt (1-x) ^(2))`

C

` (-1) /( sqrt (1-x) ^(2))`

D

` (1) /( sqrt (1-x) ^(2))`

Text Solution

Verified by Experts

The correct Answer is:
C
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